Set up and solve an equation. Round to the nearest tenth. A $\frac { 5 } { 8 }$ -inch garden hose fills a child's pool in 1 hour. A $\frac { 1 } { 2 }$ -inch garden hose fills a child's pool in 1.2 hours. How long will it take to fill the pool if both hoses are used at once?
A) 0.4 hr
B) 0.5 hr
C) 1.8 hr
D) 5.5 hr
E) 4.5 hr

Question

Quizplus · Accepted Answer

The rate of the $\frac{5}{8}$-inch hose is 1 pool per hour, and the rate of the $\frac{1}{2}$-inch hose is 1 pool per 1.2 hours. The combined rate is $1 + \frac{1}{1.2} = 1 + 0.8333 = 1.8333$ pools per hour. The time to fill 1 pool is $\frac{1}{1.8333} \approx 0.5$ hours.

Set Up and Solve an Equation 58\frac { 5 } { 8 }85​

Set Up and Solve an Equation $\frac { 5 } { 8 }$